Answer
Dependent, $\frac{1}{42}.$
Work Step by Step
Two events are dependent, if the outcome of one effects the outcome of the other. Here the events are dependent, because the selected day reduces the opportunities for the next selection. $P(A \cap B)=P(A)\cdot P(B|A)$. Hence $P(A \cap B)=\frac{1}{7}\cdot\frac{1}{6}=\frac{1}{42}.$